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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Wandering Mice, Wandering Minds: Using Computer Mouse Tracking to Predict Mind Wandering</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mariana Rachel Dias da Silva</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marie Postma-Nilsenova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Frouke H</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Tilburg University Cognitive Science and Arti cial Intelligence Department</institution>
          ,
          <addr-line>Warandelaan 2, 5037AB Tilburg</addr-line>
          ,
          <country>The</country>
          <addr-line>Netherlands https://</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>Mind wandering is a state in which an individual's attention is not fully focused on the task at hand. Mind wandering a ects performance in many tasks requiring focused attention, including (online) learning. Previous studies have examined eye tracking and self-report as a method to assess whether a person is mind wandering. Because the rst method requires specialized technology and the second method may be susceptible to reporting biases, we here examine whether mouse tracking can be used to predict mind wandering in tasks involving classical computer interfaces. Assuming that mouse trajectories towards a particular response on the screen are continuously updated by time-dependent and temporally-dynamic cognitive processes, as a behavioral methodology, mouse tracking could provide unique insight into a person's thoughts. In our experiment, a total of 183 students completed a mouse-based operation span task, during which their thoughts were probed and their mouse movements recorded. Mixed model analysis of the recordings indicated that speed errors, time to press start, initiation time, total distance, and average speed can be used as predictors of task-unrelated thoughts. The results show that mouse movements may be able to provide an objective measure of mind wandering in online tasks.</p>
      </abstract>
      <kwd-group>
        <kwd>Mouse tracking mind wandering working memory arousal</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        A unique part of the human existence involves the mind's ability to wander, i.e.,
to shift attention from the present task to internal thoughts. Studies indicate
that people's minds wander between 30 to 50% of their waking moments [
        <xref ref-type="bibr" rid="ref24 ref49">24,
49</xref>
        ]. Although important for creating an integrated sense of identity [
        <xref ref-type="bibr" rid="ref46">46</xref>
        ] and
fostering creativity [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], mind wandering (MW) is detrimental to performance
on a wide variety of tasks, particularly tasks that require sustained attention
and working memory [
        <xref ref-type="bibr" rid="ref36 ref39">36, 39</xref>
        ]. The negative association between MW and
performance on these tasks warrants the need to develop technologies that are able
to detect a wandering mind and return it to the task at hand [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. In order to
reduce the negative e ects of MW, it is important to be able to identify when
individuals are mind wandering. The challenge in studying MW, however, stems
from the fact that it cannot easily be induced in laboratory settings. Moreover,
its detection relies on self-reports, by means of experience sampling methods
such as thought probes and retrospective measures, which are inherently
subjective [
        <xref ref-type="bibr" rid="ref49">49</xref>
        ]. Compared to thought probes, retrospective measures are useful in that
they do not interrupt the natural ow of the task. However, retrospective
measures are only able to make general estimations about the total frequency of MW
on a task, while thought probes are better at pinpointing speci c instances of
MW within a task. Past studies show that to a certain degree, both are subject
to incorrect estimations from participants [
        <xref ref-type="bibr" rid="ref42 ref48">42, 48</xref>
        ]. Because of this, additional
behavioral measures such as reaction times [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ], reading speed [
        <xref ref-type="bibr" rid="ref32">32</xref>
        ], dgeting [
        <xref ref-type="bibr" rid="ref43 ref5">5,
43</xref>
        ], and physiological responses such as brain activity and eye movements [
        <xref ref-type="bibr" rid="ref10 ref12 ref33 ref47">10,
12, 33, 47</xref>
        ], have been explored to distinguish periods of focus from periods of
MW. These approaches, however, interfere with the natural performance on a
primary task [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] in that they require additional measuring instruments, which
introduce a certain level of discomfort for the participant. In this paper, we
examined mouse movement behavior as a method that could be used to predict
the occurrence of MW unobtrusively.
1.1
      </p>
    </sec>
    <sec id="sec-2">
      <title>Mouse movements as a behavioral measure of mind wandering</title>
      <p>
        It has been shown that in relation to various related domains, including decision
making, attention, and learning [
        <xref ref-type="bibr" rid="ref13 ref17 ref37">13, 17, 37</xref>
        ], computer mouse tracking e ectively
traces the evolution of internal cognitive processes through action execution. As
a natural and practiced visuo-motor response, various populations, from young
children [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ] to older adults [
        <xref ref-type="bibr" rid="ref41">41</xref>
        ] can easily perform mouse-based tasks. More
importantly, mouse movements can map covert cognitive processes on a
Cartesian coordinate space, making experimental manipulations straightforward and
interpretations intuitively understandable [
        <xref ref-type="bibr" rid="ref50">50</xref>
        ]. Alternative choices can be
represented in front of a participant, and the evolution of reach trajectories towards
a target can be visualized as a representation of how competing cognitive states
are resolved over time. Finally, measuring reach movements is a ordable and
widely accessible, and can be e ectively run as a background processes during
mouse-based tasks.
      </p>
      <p>
        Can mouse movements predict the occurrence of MW? Interestingly, mouse
movements have been associated with decreased ne motor control and increases
in neuromotor noise during high arousal [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] and with automatism during low
arousal [
        <xref ref-type="bibr" rid="ref35">35</xref>
        ]. Research on MW indicates that periods of o -task thought are
associated with changes in arousal [
        <xref ref-type="bibr" rid="ref55">55</xref>
        ]. This can be explained by the tight link
between attention and arousal, in that high or low levels of arousal are related to
lower attentional control, more lapses in attention, and thus a greater
susceptibility to MW, while moderate levels of arousal are associated with optimal task
engagement and task performance [
        <xref ref-type="bibr" rid="ref22 ref25 ref34 ref58 ref6">6, 22, 25, 34, 58</xref>
        ]. Therefore, we could expect
that MW episodes would be associated with changes in motor behavior necessary
to move the computer mouse.
      </p>
      <p>
        Two models address how arousal in uences mouse movements: the
stochastic optimized submovement (SOS) model and the response activation model.
According to the SOS model [
        <xref ref-type="bibr" rid="ref30 ref31">30, 31</xref>
        ] mouse movements towards a target are
described as having two parts an initial high-velocity phase, which although fast,
tends to be imprecise, and a subsequent deceleration phase, which is corrective
in nature, where speed decreases, but accuracy increases [
        <xref ref-type="bibr" rid="ref15 ref17">15, 17</xref>
        ]. As a target
is approached, a tradeo in speed is necessary to increase precision of
movement, as there is limited information capacity for motor control [
        <xref ref-type="bibr" rid="ref11 ref45">11, 45</xref>
        ]. The
mind attempts to minimize the total movement by optimizing the velocity and
number of submovements towards the target, however, as neuromotor noise (i.e.,
from high arousal) is introduced into the model, there is less resources available
for the intended corrective movements, leading to slower and less precise
movements [
        <xref ref-type="bibr" rid="ref30 ref31 ref4">30, 31, 4</xref>
        ]. As individuals must choose between multiple response options,
the cognitive e ort necessary to evaluate the available choices leads to
disruptions of ne motor control [
        <xref ref-type="bibr" rid="ref20">20</xref>
        ]. As more choices are presented, there is more
information to process, leading to slower response times, which is due either to
a search process towards the correct response or to uncertainty in selecting an
appropriate response.
      </p>
      <p>
        Complementary to the SOS model, the response activation model describes
motor movements as representing an aggregation of all potential movements
that could arise from all potentially actionable cognitions [
        <xref ref-type="bibr" rid="ref56">56</xref>
        ]. When competing
cognitions are introduced, motor movements become less precise and response
times are slower, as necessary cognitive resources are consumed. In line with
both the SOS and the response activation model, increases in arousal, and
consequently, the higher number of cognitions that arise from MW, increases the
amount of noise and uncertainty during a task, leading to less precise, more
complex and slower mouse movements [
        <xref ref-type="bibr" rid="ref19 ref57">19, 57</xref>
        ]. This falls in line with research
indicating that increased levels of arousal are related to individual di erences in
MW [
        <xref ref-type="bibr" rid="ref55">55</xref>
        ], which in turn is also associated increased reaction times [
        <xref ref-type="bibr" rid="ref26">26</xref>
        ] as well as
variability in reaction times [
        <xref ref-type="bibr" rid="ref2 ref29 ref44">2, 29, 44</xref>
        ] in tasks of sustained attention, suggesting
an inconsistency in attention control during periods of MW.
1.2
      </p>
    </sec>
    <sec id="sec-3">
      <title>Current Study</title>
      <p>
        The primary goal of our research is to explore if MW during a complex cognitive
task (a working memory test, i.e., an operation span task) can be detected from
mouse movements. Due to their ability to capture cognitive processes in real
time, computer mouse movements may actually provide valuable insight into
the temporal cognitive dynamics underlying MW. During the task (Figure 1),
participants need to shift between an unrelated processing task while updating
contents of working memory [
        <xref ref-type="bibr" rid="ref52 ref54 ref8 ref9">8, 9, 52, 54</xref>
        ]. In particular, the evolution of mouse
trajectories can be traced during the operation span task in order to predict
incidences of MW. Consolidating previous research on MW and arousal, as well as
mouse movements and arousal, we will explore whether various mouse movement
features can be indicators of MW, namely, time-related, movement-related, and
position-related variables.
      </p>
      <sec id="sec-3-1">
        <title>Methods</title>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Participants and Procedure</title>
      <p>
        In total, 183 participants between 17 and 37 years of age (M= 22.13), 59 male,
performed an operation span task and received credit for their participation. The
study was approved by the Tilburg University Institutional Ethics Committee,
and informed consent was obtained from each participant at the beginning of
the experimental session. After signing the consent form, participants lled out
a questionnaire assessing their demographics and completed the Operation Span
Task, which took on average 20 minutes to be completed. Standard procedure
was followed for the Operation Span (OSPAN) task (see Fig. 1, [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]).
2.2
      </p>
    </sec>
    <sec id="sec-5">
      <title>Material</title>
      <p>
        The task required participants to maintain access to memory items (letters) while
completing an unrelated processing task (math equations) with an individualized
response deadline (M + 2.5 SDs), calculated during 15 processing-task-only items
[
        <xref ref-type="bibr" rid="ref53">53</xref>
        ]. This allowed each one to set their own pace and ensured that they did not
rehearse the to-be-recalled letters by limiting the amount of time they have to
solve the math operations. Participants viewed a compound math equation on
the computer screen, and once they had solved it, they had to click on the start
button. If participants took longer than their average time to click on the start
button, the trial was marked as an error. On the center of the next screen, they
saw a number, as well as a True and False box on the top left corner and top
right corner of the screen, respectively. If the number they saw corresponded to
the correct answer to the math equation, participants were instructed to click on
the True button, and if not, on the False button. A capital letter appeared for
1000 ms after the math operation. After 3-7 compound equations-letter pairs,
all 12 letters appeared on the screen and subjects were required to identify (by
clicking) on the letters that were presented in the trial in serial order. Each set
length (3-7) was presented 3 times, randomly ordered for each subject, for a total
of 75 trials (15 sets). MW was assessed by thought probes embedded throughout
the task after each set [
        <xref ref-type="bibr" rid="ref36">36</xref>
        ] In order to prevent participants from devoting all their
processing time to remembering the letters, they had to achieve an accuracy of
at least 80% of the math operations. Task. The program calculated the sum of
all correctly recalled set sizes (OSPAN score), the total number of letters recalled
in the correct position, and the total number of math errors [
        <xref ref-type="bibr" rid="ref53">53</xref>
        ]. At the end of
the task, participants received feedback concerning their performance.
2.3
      </p>
    </sec>
    <sec id="sec-6">
      <title>Instrumentation</title>
      <p>
        The Operation Span Task was programmed on Opensesame, [
        <xref ref-type="bibr" rid="ref27">27</xref>
        ], version 3.1.6,
using a modi ed version of the script provided by Eoin Travers. The experiment
was run in full screen mode on a P2210 Dell monitor, 22 inch (55.88cm), with a
resolution of 1366 by 768 pixels on a Windows 7 operating system. The desktop
computer was placed on a table so that enough space was available to move
the mouse around without hitting the keyboard or the edge of the table. Mouse
settings were left at their default values (acceleration on and medium speed). A
Dell USB 3 Button Scrollwheel Optical Mouse was used to record cursor
coordinates for the math veri cation portion of the experiment. There was enough
space available for participants to move the mouse without hitting the keyboard
or the edge of the table.
      </p>
      <p>Mouse movements were recorded during the math veri cation part of the
task towards one of two alternatives (True or False). Upon clicking on the start
button, mouse movements began to be recorded, and participants were not
informed of this. The dimensions of the True and False buttons were of 279 by
157 pixels, and dimensions of the start button were of 80 x 80 pixels. Cursor
coordinates were recorded every 30 ms.</p>
      <p>
        In the instructions, participants were informed that after each set, they would
be asked a question about their thoughts during the previous set. They were also
informed that it is normal for people's minds to wander o task or to thoughts
about their performance on the task. After each set, participants were asked,
What were you thinking about during the previous task?, and had to choose
from 3 alternatives, namely, 1) I was focused on the task, 2) I was focused on my
performance on the task, and 3) I was thinking about something unrelated to
the task. Alternative 1 denoted all instances in which participants were focused
on the task; alternative 2 denoted all instances in which participants
experienced task-related interferences; and alternative 3 denoted all instances in which
participants experienced task-unrelated thoughts [
        <xref ref-type="bibr" rid="ref51">51</xref>
        ].
2.4
      </p>
    </sec>
    <sec id="sec-7">
      <title>Data Processing</title>
      <p>
        Individual raw data les were merged and read into R version 3.4.1 [
        <xref ref-type="bibr" rid="ref38">38</xref>
        ]. Of the
total number of participants, 3 participants did not achieve the 80% accuracy
criterion on the math portion of the operation span task and were excluded from
the analysis. Trials in which participants took longer than their average time to
click on the start button were also excluded from analyses (305 trials). Mouse
tracking data were then imported and processed using the library mousetrap
[
        <xref ref-type="bibr" rid="ref23">23</xref>
        ] on R. Trajectories were measured from the moment the start button was
pressed to the moment either the True or False response were clicked on. All
trajectories aligned to a common starting position and were remapped onto one
side, and various measures were computed for each trajectory. Before plotting
aggregate trajectories, all trajectories were time-normalized to 101 equidistant
time slices.
2.5
      </p>
    </sec>
    <sec id="sec-8">
      <title>Results</title>
      <p>
        Participants spent 68.3% of their time focused on the task, 22.7% having
taskrelated interferences, and 9% of their time having task-unrelated thoughts. As
task-related interferences represent an ambiguous category in between focus and
task-unrelated thoughts, they were not analyzed further [
        <xref ref-type="bibr" rid="ref28">28</xref>
        ], leaving a total of
10,185 trials. Moreover, as thought probes retrospectively assessed a person's
thoughts after each set, mouse movement features were aggregated per set for
statistical analyses, yielding 15 observations per participant, for a total of 2093
sets. A rst visual impression of the e ect of MW on mouse movements is
demonstrated by aggregate mouse trajectories (Fig. 2 and Fig. 3).
      </p>
      <p>
        To examine the relationship between mouse movements and task-unrelated
thoughts, we employed a mixed e ects logistic regression and evaluated how
well trajectory features could predict MW. We used the lme4 package [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ] in R to
perform the analysis. First, all mouse trajectory features were z-normalized, so
that the mean and standard deviation of each variable were 0 and 1 respectively.
As xed e ects, we entered time to press the start button, initiation time, total
distance, average speed, and speed errors per set. As random e ects, we included
intercepts for subjects. The e ect of the mouse tracking variables was tested by
comparing models with and without the factors by means of a likelihood-ratio
test. When the model t of the full model was signi cantly better than that
of the nested model according to the chi-square statistic, the mouse-tracking
features were judged to contribute to the prediction in a signi cant way. A full
model with mouse tracking variables performed signi cantly better than a model
with only random e ects, 2 = 96.46, df = 5, p &lt; 0.001 (Tab. 1).
      </p>
      <p>The coe cients for time to press start ( = 0.25, SE( ) = 0.11, p = 0.04),
initiation time ( = 0.24, SE( ) = 0.12, p = 0.04), total distance ( = 0.27, SE( )
= 0.11, p = 0.02), average speed ( = -0.41, SE( ) = 0.12, p &lt; 0.001), and speed
errors per set ( = 0.53, SE( ) = 0.07, p &lt; 0.001) were signi cant, indicating
that task-unrelated thoughts are more likely to occur when participants take
longer to press the start button, take a longer time to begin moving the mouse
towards the response, travel a greater total distance with the cursor, have slower
cursor movements, and make more speed errors.
3</p>
      <sec id="sec-8-1">
        <title>Discussion</title>
        <p>
          This study provides initial evidence that mouse tracking can be used to predict
MW. Speci cally, longer initiation times re ect a delay in the decision making
process, which may be indicative of a decoupling of attention which occurs during
task-unrelated MW. Moreover, greater total distance and slower speeds during
periods of task-unrelated MW may be indicative of increased neuromotor noise
as a result of increased arousal [
          <xref ref-type="bibr" rid="ref16">16</xref>
          ]. Such increases in neuromotor noise lead
to an increase in complexity of trajectories [
          <xref ref-type="bibr" rid="ref17">17</xref>
          ], which may re ect increased
uncertainty triggered by internal uctuations in attentiveness (i.e. MW) and
may initiate the involvement of prefrontal cognitive control mechanisms to help
disambiguate sensory information and determine the correct response [
          <xref ref-type="bibr" rid="ref14">14</xref>
          ].
        </p>
        <p>
          It is important to note that the amount of time participants spent having
task-unrelated thoughts was very low (9%), leading to a large class imbalance.
Although this would be expected considering the demanding nature of the task
and the pressure to perform well above the 80% accuracy rate on the math veri
cation, this percentage falls below other studies that also investigate MW under
demanding tasks, which report a proportion between 15-30% of task-unrelated
thoughts (e.g. [
          <xref ref-type="bibr" rid="ref21 ref40">21, 40</xref>
          ]). Paradoxically, in order to obtain a reliable objective
measure of MW through mouse tracking, we still rely on thought probes, which
are prone to being subjective and inherently cannot capture moment by
moment uctuations in attention. As such, we cannot pinpoint the exact moment
in time in which participants were having task-unrelated thoughts within each
set. Therefore, we can only generalize about the overall e ect of MW on mouse
movement behavior. It may be that future studies can identify a greater leak
into action execution caused by task-unrelated thoughts by narrowing down the
actual trials during which participants were MW by including random probes
throughout the task, which ask participants what they were thinking about
immediately before the probe rather than retrospectively for an entire set. However,
this may require using a di erent task, since random probes would disrupt the
measure of working memory capacity during the operation span task. An
alternative solution would be to instead of using a categorical response variable for
MW, to instead use a continuous response variable, in order to capture the more
graded aspects of the phenomenon.
4
        </p>
      </sec>
      <sec id="sec-8-2">
        <title>Conclusion</title>
        <p>This study examined whether mouse movements can predict mind wandering
during a complex span task. The results show that mouse movement response
dynamics can predict mind wandering, and more speci cally, task-unrelated
thoughts. Understanding how mind wandering can leak into action execution
may help us better understand the complexity of self-generated cognition. Taken
together, mouse movement features are promising behavioral measures of mind
wandering, however, further investigation of mind wandering and mouse
movements is warranted for di erent types of tasks.</p>
      </sec>
    </sec>
  </body>
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